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Category: Integration

Question-152721

Question Number 152721 by SANOGO last updated on 31/Aug/21 Commented by SANOGO last updated on 31/Aug/21 $${ok}\:{merci}\:{bien}\:{mon}\:\:{prof}\:.{je}\:{m}'{excuse}\:{seulement}\:{je}\:{ne}\:{maitrise}\:{pas}\:{bien}\:{l}'{application}\:{c}'{est}\:{pourquoi} \\ $$ Commented by puissant last updated on…

2x-1-x-x-2-3-dx-

Question Number 87185 by M±th+et£s last updated on 03/Apr/20 $$\int\frac{\mathrm{2}{x}−\mathrm{1}}{{x}\left({x}^{\mathrm{2}} +\mathrm{3}\right)}{dx} \\ $$ Answered by peter frank last updated on 03/Apr/20 $$\int\frac{\mathrm{2}{x}}{{x}\left({x}^{\mathrm{2}} +\mathrm{3}\right)}{dx}−\int\frac{\mathrm{1}}{{x}\left({x}^{\mathrm{2}} +\mathrm{3}\right)}{dx} \\…

Question-152722

Question Number 152722 by SANOGO last updated on 31/Aug/21 Answered by Olaf_Thorendsen last updated on 31/Aug/21 $$\bullet\:\mathrm{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{e}^{−\frac{\mathrm{1}}{{x}}} }{{x}^{\mathrm{2}} }\:{dx} \\ $$$$\mathrm{Let}\:{u}\:=\:\frac{\mathrm{1}}{{x}}\:: \\ $$$$\mathrm{I}\:=\:\int_{\mathrm{1}}…

3tan2t-

Question Number 21634 by Isse last updated on 29/Sep/17 $$\int\mathrm{3}{tan}\mathrm{2}{t} \\ $$ Answered by Joel577 last updated on 30/Sep/17 $${I}\:=\:\int\:\mathrm{3tan}\:\mathrm{2}{t}\:{dt} \\ $$$$\mathrm{Let}\:{u}\:=\:\mathrm{2}{t}\:\:\rightarrow\:\:{du}\:=\:\mathrm{2}\:{dt} \\ $$$${I}\:=\:\frac{\mathrm{3}}{\mathrm{2}}\:\int\:\mathrm{tan}\:{u}\:{du} \\…

x-1-x-3-dx-

Question Number 152660 by Tawa11 last updated on 30/Aug/21 $$\int\:\frac{\mathrm{x}}{\:\sqrt{\mathrm{1}\:\:\:+\:\:\:\mathrm{x}^{\mathrm{3}} }}\:\mathrm{dx} \\ $$ Answered by Olaf_Thorendsen last updated on 31/Aug/21 $$\left(\mathrm{1}+{u}\right)^{−\frac{\mathrm{1}}{\mathrm{2}}} \:=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \frac{\left(\mathrm{2}{n}\right)!}{\mathrm{2}^{\mathrm{2}{n}}…